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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:02:27 PM UTC 2026

% Result   : Theorem 0.18s 0.46s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   93 (  22 unt;   8 def)
%            Number of atoms       :  380 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  511 ( 224   ~; 212   |;  59   &)
%                                         (  11 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  14 usr;   9 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  213 (   0 sgn 197   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( organization(X0,X1)
     => ? [X2] : reproducibility(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3) ).

fof(f2,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( organization(X0,X2)
        & organization(X1,X3)
        & reliability(X0,X4,X2)
        & reliability(X1,X5,X3)
        & accountability(X0,X6,X2)
        & accountability(X1,X7,X3)
        & reproducibility(X0,X8,X2)
        & reproducibility(X1,X9,X3) )
     => ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_FOL) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( organization(X0,X3)
        & organization(X0,X4)
        & reorganization_free(X0,X3,X4)
        & reproducibility(X0,X1,X3)
        & reproducibility(X0,X2,X4)
        & greater(X4,X3) )
     => greater(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a4_FOL) ).

fof(f4,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ( organization(X0,X5)
        & organization(X0,X6)
        & reorganization_free(X0,X5,X6)
        & reliability(X0,X1,X5)
        & reliability(X0,X2,X6)
        & accountability(X0,X3,X5)
        & accountability(X0,X4,X6)
        & greater(X6,X5) )
     => ( greater(X2,X1)
        & greater(X4,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_FOL) ).

fof(f5,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( organization(X0,X5)
          & organization(X0,X6)
          & reorganization_free(X0,X5,X6)
          & reliability(X0,X1,X5)
          & reliability(X0,X2,X6)
          & accountability(X0,X3,X5)
          & accountability(X0,X4,X6)
          & greater(X6,X5) )
       => ( greater(X2,X1)
          & greater(X4,X3) ) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ? [X2] : reproducibility(X0,X2,X1)
      | ~ organization(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( greater(X9,X8)
      <=> ( greater(X5,X4)
          & greater(X7,X6) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(flattening,[],[f7]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3,X4] :
      ( greater(X2,X1)
      | ~ organization(X0,X3)
      | ~ organization(X0,X4)
      | ~ reorganization_free(X0,X3,X4)
      | ~ reproducibility(X0,X1,X3)
      | ~ reproducibility(X0,X2,X4)
      | ~ greater(X4,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3,X4] :
      ( greater(X2,X1)
      | ~ organization(X0,X3)
      | ~ organization(X0,X4)
      | ~ reorganization_free(X0,X3,X4)
      | ~ reproducibility(X0,X1,X3)
      | ~ reproducibility(X0,X2,X4)
      | ~ greater(X4,X3) ),
    inference(flattening,[],[f9]) ).

fof(f11,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ~ greater(X2,X1)
        | ~ greater(X4,X3) )
      & organization(X0,X5)
      & organization(X0,X6)
      & reorganization_free(X0,X5,X6)
      & reliability(X0,X1,X5)
      & reliability(X0,X2,X6)
      & accountability(X0,X3,X5)
      & accountability(X0,X4,X6)
      & greater(X6,X5) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f12,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ( ~ greater(X2,X1)
        | ~ greater(X4,X3) )
      & organization(X0,X5)
      & organization(X0,X6)
      & reorganization_free(X0,X5,X6)
      & reliability(X0,X1,X5)
      & reliability(X0,X2,X6)
      & accountability(X0,X3,X5)
      & accountability(X0,X4,X6)
      & greater(X6,X5) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( reproducibility(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f6]) ).

fof(f14,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X5,X4)
          | ~ greater(X7,X6) )
        & ( ( greater(X5,X4)
            & greater(X7,X6) )
          | ~ greater(X9,X8) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(nnf_transformation,[],[f8]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ( ( greater(X9,X8)
          | ~ greater(X5,X4)
          | ~ greater(X7,X6) )
        & ( ( greater(X5,X4)
            & greater(X7,X6) )
          | ~ greater(X9,X8) ) )
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | ~ accountability(X1,X7,X3)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(flattening,[],[f14]) ).

fof(f16,plain,
    ( ( ~ greater(sK3,sK2)
      | ~ greater(sK5,sK4) )
    & organization(sK1,sK6)
    & organization(sK1,sK7)
    & reorganization_free(sK1,sK6,sK7)
    & reliability(sK1,sK2,sK6)
    & reliability(sK1,sK3,sK7)
    & accountability(sK1,sK4,sK6)
    & accountability(sK1,sK5,sK7)
    & greater(sK7,sK6) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5),skolemize(X5,sK6),skolemize(X6,sK7)],[f12]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( reproducibility(X0,sK0(X0,X1),X1)
      | ~ organization(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ accountability(X1,X7,X3)
      | ~ greater(X9,X8)
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | greater(X7,X6)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f19,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ accountability(X1,X7,X3)
      | ~ greater(X9,X8)
      | ~ organization(X0,X2)
      | ~ organization(X1,X3)
      | ~ reliability(X0,X4,X2)
      | ~ reliability(X1,X5,X3)
      | ~ accountability(X0,X6,X2)
      | greater(X5,X4)
      | ~ reproducibility(X0,X8,X2)
      | ~ reproducibility(X1,X9,X3) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ reorganization_free(X0,X3,X4)
      | ~ organization(X0,X3)
      | ~ organization(X0,X4)
      | greater(X2,X1)
      | ~ reproducibility(X0,X1,X3)
      | ~ reproducibility(X0,X2,X4)
      | ~ greater(X4,X3) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f22,plain,
    greater(sK7,sK6),
    inference(cnf_transformation,[],[f16]) ).

fof(f23,plain,
    accountability(sK1,sK5,sK7),
    inference(cnf_transformation,[],[f16]) ).

fof(f24,plain,
    accountability(sK1,sK4,sK6),
    inference(cnf_transformation,[],[f16]) ).

fof(f25,plain,
    reliability(sK1,sK3,sK7),
    inference(cnf_transformation,[],[f16]) ).

fof(f26,plain,
    reliability(sK1,sK2,sK6),
    inference(cnf_transformation,[],[f16]) ).

fof(f27,plain,
    reorganization_free(sK1,sK6,sK7),
    inference(cnf_transformation,[],[f16]) ).

fof(f28,plain,
    organization(sK1,sK7),
    inference(cnf_transformation,[],[f16]) ).

fof(f29,plain,
    organization(sK1,sK6),
    inference(cnf_transformation,[],[f16]) ).

fof(f30,plain,
    ( ~ greater(sK3,sK2)
    | ~ greater(sK5,sK4) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f32,definition,
    ( spl8_1
  <=> greater(sK5,sK4) ),
    introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).

fof(f34,plain,
    ( ~ greater(sK5,sK4)
    | spl8_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f36,definition,
    ( spl8_2
  <=> greater(sK3,sK2) ),
    introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).

fof(f38,plain,
    ( ~ greater(sK3,sK2)
    | spl8_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f39,plain,
    ( ~ spl8_1
    | ~ spl8_2 ),
    inference(avatar_split_clause,[],[f30,f36,f32]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ organization(sK1,sK6)
      | ~ organization(sK1,sK7)
      | greater(X0,X1)
      | ~ reproducibility(sK1,X1,sK6)
      | ~ reproducibility(sK1,X0,sK7)
      | ~ greater(sK7,sK6) ),
    inference(resolution,[],[f21,f27]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ organization(sK1,sK7)
      | greater(X0,X1)
      | ~ reproducibility(sK1,X1,sK6)
      | ~ reproducibility(sK1,X0,sK7)
      | ~ greater(sK7,sK6) ),
    inference(forward_subsumption_resolution,[],[f62,f29]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( greater(X0,X1)
      | ~ reproducibility(sK1,X1,sK6)
      | ~ reproducibility(sK1,X0,sK7)
      | ~ greater(sK7,sK6) ),
    inference(forward_subsumption_resolution,[],[f63,f28]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ reproducibility(sK1,X1,sK6)
      | greater(X0,X1)
      | ~ reproducibility(sK1,X0,sK7) ),
    inference(forward_subsumption_resolution,[],[f64,f22]) ).

fof(f73,definition,
    ( spl8_9
  <=> ! [X1] : ~ reproducibility(sK1,X1,sK6) ),
    introduced(definition,[new_symbols(definition,[spl8_9])],[avatar_definition]) ).

fof(f74,plain,
    ( ! [X1] : ~ reproducibility(sK1,X1,sK6)
    | ~ spl8_9 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f76,definition,
    ( spl8_10
  <=> ! [X0] : ~ reproducibility(sK1,X0,sK7) ),
    introduced(definition,[new_symbols(definition,[spl8_10])],[avatar_definition]) ).

fof(f77,plain,
    ( ! [X0] : ~ reproducibility(sK1,X0,sK7)
    | ~ spl8_10 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f80,plain,
    ( ~ organization(sK1,sK6)
    | ~ spl8_9 ),
    inference(resolution,[],[f74,f17]) ).

fof(f81,plain,
    ( $false
    | ~ spl8_9 ),
    inference(forward_subsumption_resolution,[],[f80,f29]) ).

fof(f82,plain,
    ~ spl8_9,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f83,plain,
    ( ~ organization(sK1,sK7)
    | ~ spl8_10 ),
    inference(resolution,[],[f77,f17]) ).

fof(f84,plain,
    ( $false
    | ~ spl8_10 ),
    inference(forward_subsumption_resolution,[],[f83,f28]) ).

fof(f85,plain,
    ~ spl8_10,
    inference(avatar_contradiction_clause,[],[f84]) ).

fof(f98,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ greater(X0,X1)
      | ~ organization(X2,X3)
      | ~ organization(sK1,sK7)
      | ~ reliability(X2,X4,X3)
      | ~ reliability(sK1,X5,sK7)
      | ~ accountability(X2,X6,X3)
      | greater(sK5,X6)
      | ~ reproducibility(X2,X1,X3)
      | ~ reproducibility(sK1,X0,sK7) ),
    inference(resolution,[],[f18,f23]) ).

fof(f101,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ greater(X0,X1)
      | ~ organization(X2,X3)
      | ~ reliability(X2,X4,X3)
      | ~ reliability(sK1,X5,sK7)
      | ~ accountability(X2,X6,X3)
      | greater(sK5,X6)
      | ~ reproducibility(X2,X1,X3)
      | ~ reproducibility(sK1,X0,sK7) ),
    inference(forward_subsumption_resolution,[],[f98,f28]) ).

fof(f111,definition,
    ( spl8_14
  <=> ! [X5] : ~ reliability(sK1,X5,sK6) ),
    introduced(definition,[new_symbols(definition,[spl8_14])],[avatar_definition]) ).

fof(f112,plain,
    ( ! [X5] : ~ reliability(sK1,X5,sK6)
    | ~ spl8_14 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f120,plain,
    ( $false
    | ~ spl8_14 ),
    inference(resolution,[],[f112,f26]) ).

fof(f121,plain,
    ~ spl8_14,
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f123,definition,
    ( spl8_17
  <=> ! [X5] : ~ reliability(sK1,X5,sK7) ),
    introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).

fof(f124,plain,
    ( ! [X5] : ~ reliability(sK1,X5,sK7)
    | ~ spl8_17 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f129,definition,
    ( spl8_19
  <=> ! [X6,X4,X0,X3,X2,X1] :
        ( ~ greater(X0,X1)
        | ~ reproducibility(sK1,X0,sK7)
        | ~ reproducibility(X2,X1,X3)
        | ~ organization(X2,X3)
        | greater(sK5,X6)
        | ~ accountability(X2,X6,X3)
        | ~ reliability(X2,X4,X3) ) ),
    introduced(definition,[new_symbols(definition,[spl8_19])],[avatar_definition]) ).

fof(f130,plain,
    ( ! [X2,X3,X0,X1,X6,X4] :
        ( ~ accountability(X2,X6,X3)
        | ~ reproducibility(sK1,X0,sK7)
        | ~ reproducibility(X2,X1,X3)
        | ~ organization(X2,X3)
        | greater(sK5,X6)
        | ~ greater(X0,X1)
        | ~ reliability(X2,X4,X3) )
    | ~ spl8_19 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f131,plain,
    ( spl8_17
    | spl8_19 ),
    inference(avatar_split_clause,[],[f101,f129,f123]) ).

fof(f132,plain,
    ( $false
    | ~ spl8_17 ),
    inference(resolution,[],[f124,f25]) ).

fof(f133,plain,
    ~ spl8_17,
    inference(avatar_contradiction_clause,[],[f132]) ).

fof(f136,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ greater(X0,X1)
      | ~ organization(X2,X3)
      | ~ organization(sK1,sK7)
      | ~ reliability(X2,X4,X3)
      | ~ reliability(sK1,X5,sK7)
      | ~ accountability(X2,X6,X3)
      | greater(X5,X4)
      | ~ reproducibility(X2,X1,X3)
      | ~ reproducibility(sK1,X0,sK7) ),
    inference(resolution,[],[f19,f23]) ).

fof(f139,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ~ accountability(X2,X6,X3)
      | ~ organization(X2,X3)
      | ~ reliability(X2,X4,X3)
      | ~ reliability(sK1,X5,sK7)
      | ~ greater(X0,X1)
      | greater(X5,X4)
      | ~ reproducibility(X2,X1,X3)
      | ~ reproducibility(sK1,X0,sK7) ),
    inference(forward_subsumption_resolution,[],[f136,f28]) ).

fof(f193,plain,
    ( ! [X2,X0,X1] :
        ( ~ reproducibility(sK1,X0,sK7)
        | ~ reproducibility(sK1,X1,sK6)
        | ~ organization(sK1,sK6)
        | greater(sK5,sK4)
        | ~ greater(X0,X1)
        | ~ reliability(sK1,X2,sK6) )
    | ~ spl8_19 ),
    inference(resolution,[],[f130,f24]) ).

fof(f194,plain,
    ( ! [X2,X0,X1] :
        ( ~ reproducibility(sK1,X0,sK7)
        | ~ reproducibility(sK1,X1,sK6)
        | ~ organization(sK1,sK6)
        | greater(sK5,sK4)
        | ~ reliability(sK1,X2,sK6) )
    | ~ spl8_19 ),
    inference(forward_subsumption_resolution,[],[f193,f65]) ).

fof(f205,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(sK1,sK6)
      | ~ reliability(sK1,X0,sK6)
      | ~ reliability(sK1,X1,sK7)
      | ~ greater(X2,X3)
      | greater(X1,X0)
      | ~ reproducibility(sK1,X3,sK6)
      | ~ reproducibility(sK1,X2,sK7) ),
    inference(resolution,[],[f139,f24]) ).

fof(f206,plain,
    ! [X2,X3,X0,X1] :
      ( ~ organization(sK1,sK6)
      | ~ reliability(sK1,X0,sK6)
      | ~ reliability(sK1,X1,sK7)
      | greater(X1,X0)
      | ~ reproducibility(sK1,X3,sK6)
      | ~ reproducibility(sK1,X2,sK7) ),
    inference(forward_subsumption_resolution,[],[f205,f65]) ).

fof(f208,plain,
    ! [X2,X3,X0,X1] :
      ( ~ reliability(sK1,X0,sK6)
      | ~ reliability(sK1,X1,sK7)
      | greater(X1,X0)
      | ~ reproducibility(sK1,X3,sK6)
      | ~ reproducibility(sK1,X2,sK7) ),
    inference(forward_subsumption_resolution,[],[f206,f29]) ).

fof(f210,definition,
    ( spl8_29
  <=> ! [X0,X1] :
        ( ~ reliability(sK1,X0,sK6)
        | ~ reliability(sK1,X1,sK7)
        | greater(X1,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl8_29])],[avatar_definition]) ).

fof(f211,plain,
    ( ! [X0,X1] :
        ( ~ reliability(sK1,X1,sK7)
        | ~ reliability(sK1,X0,sK6)
        | greater(X1,X0) )
    | ~ spl8_29 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f212,plain,
    ( spl8_10
    | spl8_9
    | spl8_29 ),
    inference(avatar_split_clause,[],[f208,f210,f73,f76]) ).

fof(f213,plain,
    ( ! [X0] :
        ( ~ reliability(sK1,X0,sK6)
        | greater(sK3,X0) )
    | ~ spl8_29 ),
    inference(resolution,[],[f211,f25]) ).

fof(f217,plain,
    ( greater(sK3,sK2)
    | ~ spl8_29 ),
    inference(resolution,[],[f213,f26]) ).

fof(f218,plain,
    ( $false
    | spl8_2
    | ~ spl8_29 ),
    inference(forward_subsumption_resolution,[],[f217,f38]) ).

fof(f219,plain,
    ( spl8_2
    | ~ spl8_29 ),
    inference(avatar_contradiction_clause,[],[f218]) ).

fof(f220,plain,
    ( ! [X2,X0,X1] :
        ( ~ reproducibility(sK1,X0,sK7)
        | ~ reproducibility(sK1,X1,sK6)
        | greater(sK5,sK4)
        | ~ reliability(sK1,X2,sK6) )
    | ~ spl8_19 ),
    inference(forward_subsumption_resolution,[],[f194,f29]) ).

fof(f224,plain,
    ( ! [X2,X0,X1] :
        ( ~ reproducibility(sK1,X0,sK7)
        | ~ reproducibility(sK1,X1,sK6)
        | ~ reliability(sK1,X2,sK6) )
    | spl8_1
    | ~ spl8_19 ),
    inference(forward_subsumption_resolution,[],[f220,f34]) ).

fof(f225,plain,
    ( spl8_14
    | spl8_9
    | spl8_10
    | spl8_1
    | ~ spl8_19 ),
    inference(avatar_split_clause,[],[f224,f129,f32,f76,f73,f111]) ).

cnf(s16,plain,
    ( ~ spl8_1
    | ~ spl8_2 ),
    inference(sat_conversion,[],[f39]) ).

cnf(s52,plain,
    ~ spl8_9,
    inference(sat_conversion,[],[f82]) ).

cnf(s54,plain,
    ~ spl8_10,
    inference(sat_conversion,[],[f85]) ).

cnf(s82,plain,
    ~ spl8_14,
    inference(sat_conversion,[],[f121]) ).

cnf(s86,plain,
    ( spl8_17
    | spl8_19 ),
    inference(sat_conversion,[],[f131]) ).

cnf(s90,plain,
    ~ spl8_17,
    inference(sat_conversion,[],[f133]) ).

cnf(s155,plain,
    ( spl8_9
    | spl8_10
    | spl8_29 ),
    inference(sat_conversion,[],[f212]) ).

cnf(s160,plain,
    ( spl8_2
    | ~ spl8_29 ),
    inference(sat_conversion,[],[f219]) ).

cnf(s174,plain,
    ( spl8_1
    | spl8_9
    | spl8_10
    | spl8_14
    | ~ spl8_19 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s175,plain,
    spl8_19,
    inference(rat,[],[s86,s90]) ).

cnf(s177,plain,
    spl8_1,
    inference(rat,[],[s174,s175,s82,s54,s52]) ).

cnf(s178,plain,
    spl8_29,
    inference(rat,[],[s155,s54,s52]) ).

cnf(s179,plain,
    spl8_2,
    inference(rat,[],[s160,s178]) ).

cnf(s181,plain,
    $false,
    inference(rat,[],[s16,s179,s177]) ).

fof(f226,plain,
    $false,
    inference(avatar_sat_refutation,[],[s181]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT006+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.39  % Computer : n009.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8046.5625MB
% 0.15/0.39  % OS       : Linux 6.8.0-71-generic
% 0.15/0.39  % CPULimit : 300
% 0.15/0.39  % WCLimit  : 300
% 0.15/0.39  % DateTime : Sun Sep 27 17:16:00 UTC 2026
% 0.15/0.40  % CPUTime  : 
% 0.15/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  % (2265380)Will run a generic schedule for satisfiability detection.
% 0.18/0.46  % (2265387)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=641289954:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46  % (2265386)% WARNING: option uhcvi not known.
% 0.18/0.46  % (2265387) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2265380-2265387"...
% 0.18/0.46  % (2265387)...printing done.
% 0.18/0.46  % (2265387)Refutation found. Thanks to Tanya!
% 0.18/0.46  % SZS status Theorem for theBenchmark
% 0.18/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46  % (2265387)------------------------------
% 0.18/0.46  % (2265387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46  % (2265387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46  % (2265387)CaDiCaL version: 2.1.3
% 0.18/0.46  % (2265387)Termination reason: Refutation
% 0.18/0.46  % (2265387)Time elapsed: 0.004 s
% 0.18/0.46  % (2265387)Peak memory usage: 12 MB
% 0.18/0.46  % (2265387)Instructions burned: 8 (million)
% 0.18/0.46  % (2265380)Success in time 0.03 s
% 0.18/0.46  % Vampire exiting
%------------------------------------------------------------------------------